Pith Number

pith:L5AYSP3U

pith:2013:L5AYSP3UFIJMTUS6ZNNFYP3NGI

not attested not anchored not stored refs pending

An Extension of Cui-Kano's Characterization Problem on Graph Factors

Hongliang Lu

arxiv:1301.4657 v2 · 2013-01-20 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5AYSP3UFIJMTUS6ZNNFYP3NGI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:35:25.029904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f41893f742a12c9d25ecb5a5c3f6d3210c3c58a59270ea10e6a08cf270a6ff5

Aliases

arxiv: 1301.4657 · arxiv_version: 1301.4657v2 · doi: 10.48550/arxiv.1301.4657 · pith_short_12: L5AYSP3UFIJM · pith_short_16: L5AYSP3UFIJMTUS6 · pith_short_8: L5AYSP3U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L5AYSP3UFIJMTUS6ZNNFYP3NGI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5f41893f742a12c9d25ecb5a5c3f6d3210c3c58a59270ea10e6a08cf270a6ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f5931421aac95c35b43d7931b5c66799392295c87829ed575fc1debe9ece72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-20T13:35:02Z",
    "title_canon_sha256": "c1bd97c25c5b4d7dc2a49528641e8192598054de0eb967998869c06ad8231007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4657",
    "kind": "arxiv",
    "version": 2
  }
}